Search a number
-
+
65302302972 = 223235318472417
BaseRepresentation
bin111100110100010100…
…100001000011111100
320020120000210201000210
4330310110201003330
52032214342143342
645555514552420
74501152262644
oct746424410374
9206500721023
1065302302972
11257704a1835
12107a5738710
136209111b7a
143236b67524
151a72ec079c
hexf345210fc

65302302972 has 96 divisors (see below), whose sum is σ = 162151621632. Its totient is φ = 20408667136.

The previous prime is 65302302971. The next prime is 65302302983. The reversal of 65302302972 is 27920320356.

It is a self number, because there is not a number n which added to its sum of digits gives 65302302972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65302302971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27016708 + ... + 27019124.

It is an arithmetic number, because the mean of its divisors is an integer number (1689079392).

Almost surely, 265302302972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65302302972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81075810816).

65302302972 is an abundant number, since it is smaller than the sum of its proper divisors (96849318660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65302302972 is a wasteful number, since it uses less digits than its factorization.

65302302972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 65302302972 in words is "sixty-five billion, three hundred two million, three hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 53 69 92 106 138 159 212 276 318 636 1219 1847 2417 2438 3657 3694 4834 4876 5541 7251 7314 7388 9668 11082 14502 14628 22164 29004 42481 55591 84962 97891 111182 127443 128101 166773 169924 195782 222364 254886 256202 293673 333546 384303 391564 509772 512404 587346 667092 768606 1174692 1537212 2251493 2946323 4464199 4502986 5892646 6754479 8838969 8928398 9005972 11785292 13392597 13508958 17677938 17856796 26785194 27017916 35355876 53570388 102676577 205353154 236602547 308029731 410706308 473205094 616059462 709807641 946410188 1232118924 1419615282 2839230564 5441858581 10883717162 16325575743 21767434324 32651151486 65302302972